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136512420 = 223511397521
BaseRepresentation
bin10000010001100…
…00001110100100
3100111212112211120
420020300032210
5234421344140
621313533540
73245223252
oct1010601644
9314775746
10136512420
117006a890
12398742b0
1322388aa5
14141b75d2
15beb81d0
hex82303a4

136512420 has 96 divisors (see below), whose sum is σ = 418836096. Its totient is φ = 32947200.

The previous prime is 136512413. The next prime is 136512451. The reversal of 136512420 is 24215631.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261760 + ... + 262280.

It is an arithmetic number, because the mean of its divisors is an integer number (4362876).

Almost surely, 2136512420 is an apocalyptic number.

136512420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136512420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209418048).

136512420 is an abundant number, since it is smaller than the sum of its proper divisors (282323676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136512420 is a wasteful number, since it uses less digits than its factorization.

136512420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 136512420 is about 11683.8529603894. The cubic root of 136512420 is about 514.9013792996.

The spelling of 136512420 in words is "one hundred thirty-six million, five hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 397 521 660 794 1042 1191 1563 1588 1985 2084 2382 2605 3126 3970 4367 4764 5210 5731 5955 6252 7815 7940 8734 10420 11462 11910 13101 15630 17193 17468 21835 22924 23820 26202 28655 31260 34386 43670 52404 57310 65505 68772 85965 87340 114620 131010 171930 206837 262020 343860 413674 620511 827348 1034185 1241022 2068370 2275207 2482044 3102555 4136740 4550414 6205110 6825621 9100828 11376035 12410220 13651242 22752070 27302484 34128105 45504140 68256210 136512420